
From:  Nir Krakauer 
Subject:  Re: Linear regression with uncertainties of the independent variable 
Date:  Fri, 4 Mar 2022 17:14:43 0500 
It sounds like you're looking for "total least squares". The Wikipedia article on it has an Octave implementation for the case where all x and y entries have equal uncertainties: https://en.wikipedia.org/wiki/Total_least_squares
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